Question 27 of 41intermediate🔍 AnalyzeNumerical4 marks

Identify the change and write the next 3 terms for each sequence: (a) 4.4, 4.45, 4.5, … (b) 25.75, 26.25, 26.75, … (c) 10.56, 10.67, 10.78, … (d) 13.5, 16, 18.5, … (e) 8.5, 9.4, 10.3, … (f) 5, 4.95, 4.90, … (g) 12.45, 11.95, 11.45, … (h) 36.5, 33, 29.5, …

(a)
Answer

4.55, 4.6, 4.65 (pattern: +0.05)

(b)
Answer

27.25, 27.75, 28.25 (pattern: +0.5)

(c)
Answer

10.89, 11.00, 11.11 (pattern: +0.11)

(d)
Answer

21, 23.5, 26 (pattern: +2.5)

(e)
Answer

11.2, 12.1, 13.0 (pattern: +0.9)

(f)
Answer

4.85, 4.80, 4.75 (pattern: -0.05)

(g)
Answer

10.95, 10.45, 9.95 (pattern: -0.5)

(h)
Answer

26, 22.5, 19 (pattern: -3.5)

Explanation

(a) Each term increases by 0.05 (b) Each term increases by 0.5 (c) Each term increases by 0.11 (d) Each term increases by 2.5 (e) Each term increases by 0.9 (f) Each term decreases by 0.05 (g) Each term decreases by 0.5 (h) Each term decreases by 3.5

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